Multiple choice

Age of P is 4 times of Q . Q is (\frac{1}{3}) times of R. If the ratio of age of P and R become 13 : 11 after 20 year. Then find the age of Q after 4 year.

  1. 24

  2. 32

  3. 8

  4. 12

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let P = 4Q and Q = R/3, so P = 4R/3. After 20 years: (P+20)/(R+20) = 13/11. Substituting P = 4R/3: (4R/3 + 20)/(R + 20) = 13/11. Cross-multiplying: 11(4R/3 + 20) = 13(R + 20). This gives 44R/3 + 220 = 13R + 260. Multiplying by 3: 44R + 660 = 39R + 780. Solving: 5R = 120, so R = 24. Then Q = R/3 = 8. Q's age after 4 years = 8 + 4 = 12.

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